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Imaginary numbers are not "Imaginary"! Despite their name, they are completely solid mathematically, and they are critical for many real-world applications. Let's explore imaginary numbers in 5 levels, ranging from the idea behind calling them "imaginary" to exploring their rectangular and polar forms, complex numbers as matrices, and real-world applications.

This video was sponsored by Brilliant.

00:00 Introduction
00:21 Level 1: "Imaginary"
02:17 Level 2: Rectangular and Polar
05:16 Level 3: Matrices
08:10 Sponsor Message
09:26 Level 4: Applications
10:15 Level 5: Abstract Algebra